An Improved Predictor-Corrector Method for Delay Differential Equations of Fractional Order

D. Vivek; K. Kanagarajan; S.Harikrishnan

doi:https://doi.org/10.14445/22315373/IJMTT-V30P506

International Journal of Mathematics Trends and Technology

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Volume 30 | Number 1 | Year 2016 | Article Id. IJMTT-V30P506 | DOI : https://doi.org/10.14445/22315373/IJMTT-V30P506

An Improved Predictor-Corrector Method for Delay Differential Equations of Fractional Order

D. Vivek, K. Kanagarajan, S.Harikrishnan

Abstract

This article provides an analysis for the delay fractional differential equations in Caputo sense by an introduction of an improved predictorcorrector formula. The delay term is expressed either as a constant or time varying. The implication of this new approach is used to improvise the algorithm. A vivid description of the convergence and detailed error analysis of the improved predictor-corrector method is clearly presented. The efficiency of the proposed method is highlighted with numerical examples.

Keywords

Fractional derivative, Delay differential equations, Predictor-Corrector algorithm.

References

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Citation :

D. Vivek, K. Kanagarajan, S.Harikrishnan, "An Improved Predictor-Corrector Method for Delay Differential Equations of Fractional Order," International Journal of Mathematics Trends and Technology (IJMTT), vol. 30, no. 1, pp. 34-38, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V30P506